Partial Differential Equations of Mathematical Physics
eBook - PDF

Partial Differential Equations of Mathematical Physics

Adiwes International Series in Mathematics

  1. 438 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Partial Differential Equations of Mathematical Physics

Adiwes International Series in Mathematics

About this book

Partial Differential Equations of Mathematical Physics emphasizes the study of second-order partial differential equations of mathematical physics, which is deemed as the foundation of investigations into waves, heat conduction, hydrodynamics, and other physical problems. The book discusses in detail a wide spectrum of topics related to partial differential equations, such as the theories of sets and of Lebesgue integration, integral equations, Green's function, and the proof of the Fourier method. Theoretical physicists, experimental physicists, mathematicians engaged in pure and applied mathematics, and researchers will benefit greatly from this book.

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Yes, you can access Partial Differential Equations of Mathematical Physics by S. L. Sobolev, A.J. Lohwater in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080104249
eBook ISBN
9781483149165
Topic
Physical Sciences
Subtopic
Mathematics General

Table of contents

  1. Front Cover
  2. Partial Differential Equations of Mathematical Physics
  3. Copyright Page
  4. Table of Contents
  5. TRANSLATION EDITOR'S PREFACE
  6. LECTURE 1. DERIVATION OF THE FUNDAMENTAL EQUATIONS
  7. LECTURE 2. THE FORMULATION OF PROBLEMS OF MATHEMATICAL PHYSICS. HADAMARD'S EXAMPLE
  8. LECTURE 3. THE CLASSIFICATION OF LINEAR EQUATIONS OF THE SECOND ORDER
  9. LECTURE 4. THE EQUATION FOR A VIBRATING STRING AND ITS SOLUTION BY D'ALEMBERT'S METHOD
  10. LECTURE 5. RIEMANN'S METHOD
  11. LECTURE 6. MULTIPLE INTEGRALS: LEBESGUE INTEGRATION
  12. LECTURE 7. INTEGRALS DEPENDENT ON A PARAMETER
  13. LECTURE 8. THE EQUATION OF HEAT CONDUCTION
  14. LECTURE 9. LAPLACE'S EQUATION AND POISSON'S EQUATION
  15. 1. The Theorem of the Maximum
  16. 2. The Principal Solution. Green's Formula
  17. 3. The Potential due to a Volume, to a Single Layer, and to a Double Layer
  18. LECTURE 10. SOME GENERAL CONSEQUENCES OF GREEN'S FORMULA
  19. LECTURE 11. POISSON'S EQUATION IN AN UNBOUNDED MEDIUM. NEWTONIAN POTENTIAL
  20. LECTURE 12. THE SOLUTION OF THE DIRICHLET PROBLEM FOR A SPHERE
  21. LECTURE 13. THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM FOR A HALF-SPACE
  22. LECTURE 14. THE WAVE EQUATION AND THE RETARDED POTENTIAL
  23. LECTURE 15. PROPERTIES OF THE POTENTIALS OF SINGLE AND DOUBLE LAYERS
  24. LECTURE 16. REDUCTION OF THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM TO INTEGRAL EQUATIONS
  25. LECTURE 17. LAPLACE'S EQUATION AND POISSON'S EQUATION IN A PLANE
  26. LECTURE 18. THE THEORY OF INTEGRAL EQUATIONS
  27. LECTURE 19. APPLICATION OF THE THEORY OF FREDHOLM EQUATIONS TO THE SOLUTION OF THE DIRICHLET AND NEUMANN PROBLEMS
  28. LECTURE 20. GREEN'S FUNCTION
  29. LECTURE 21. GREEN'S FUNCTION FOR THE LAPLACE OPERATOR
  30. LECTURE 22. CORRECTNESS OF FORMULATION OF THE BOUNDARY-VALUE PROBLEMS OF MATHEMATICAL PHYSICS
  31. LECTURE 23. FOURIER'S METHOD
  32. LECTURE 24. INTEGRAL EQUATIONS WITH REAL, SYMMETRIC KERNELS
  33. LECTURE 25. THE BILINEAR FORMULA AND THE HILBERTS-CHMIDT THEOREM
  34. LECTURE 26. THE INHOMOGENEOUS INTEGRAL EQUATION WITH A SYMMETRIC KERNEL
  35. LECTURE 27. VIBRATIONS OF A RECTANGULAR PARALLELEPIPED
  36. LECTURE 28. LAPLACE'S EQUATION IN CURVILINEAR COORDINATES. EXAMPLES OF THE USE OF FOURIER'S METHOD
  37. LECTURE 29. HARMONIC POLYNOMIALS AND SPHERICAL FUNCTIONS
  38. LECTURE 30. SOME ELEMENTARY PROPERTIES OF SPHERICAL FUNCTIONS
  39. INDEX